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The Energy Loss Phenomenon in RLHF: A New Perspective on Mitigating Reward Hacking

ICML 2025 · Reinforcement learning › RL from feedback · approach: Theory of RLHF · 0 citations (OpenAlex)

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Identifies an energy loss phenomenon in the final layer of LLMs during RLHF linked to reward hacking, proves a contextual-relevance bound, and proposes EPPO, a PPO variant that penalizes final-layer energy loss increase in the reward.

Problem

Reward hacking in RLHF, where policy optimization under a proxy reward model diverges from true human preferences and degrades contextual relevance; existing mitigations constrain the output space (KL, length penalties), which restricts policy optimization.

Approach

Measures energy loss (difference in L1 norms of a layer's input and output hidden states) in the LLM's final layer, shows it rises during RL with excessive rises marking hacking, and penalizes its deviation from the SFT model within the PPO reward, which the authors interpret as entropy regularization.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Penalize final-layer energy-loss increase in the reward (EPPO instead of PPO)Llama3-8B RLHF · Anthropic-Helpful, Anthropic-Harmless, AlpacaFarm, and TL;DR SummaryGPT-4 win/tie/lose: 76/17/7; 78/12/10; 68/20/12; 66/21/13Helped
Penalize final-layer energy-loss increase in the reward (EPPO instead of PPO)Llama2-7B, Mistral-7B, and DeepSeek-7B RLHF · Anthropic-Helpful, Anthropic-Harmless, AlpacaFarm, and TL;DR SummaryGPT-4 win/tie/loseMixed
Combine EPPO with ODINLlama3-8B RLHF · Anthropic-Helpful, Anthropic-Harmless, AlpacaFarm, and TL;DR SummaryGPT-4 win/tie/lose: 67/25/8; 52/30/18; 62/26/12; 42/36/22Helped
Combine EPPO with InfoRMLlama3-8B RLHF · Anthropic-Helpful, Anthropic-Harmless, AlpacaFarm, and TL;DR SummaryGPT-4 win/tie/lose: 46/37/17; 60/25/15; 44/34/22; 44/36/20Helped
Increase final-layer energy loss during RLRLHF policy models · Multiple LLMs and datasetsfinal-layer energy lossHurt

Surprising findings

Limitations

Experimental setup

Datasets: ShareGPT Anthropic-HH Reddit TL;DR AlpacaFarm

Benchmarks: Anthropic-Helpful Anthropic-Harmless AlpacaFarm Reddit TL;DR

Metrics: win rate tie rate lose rate energy loss contextual dependency strength

Baselines: SFT PPO PPO w/ KL PPO w/ LP ERM-Mean ERM-WCO ERM-UWO WARM ODIN InfoRM

Builds on: PPO InfoRM ODIN contextual dependency strength

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